Toward emulating nuclear reactions using eigenvector continuation

Abstract

We construct an efficient emulator for two-body scattering observables using the general (complex) Kohn variational principle and trial wave functions derived from eigenvector continuation. The emulator simultaneously evaluates an array of Kohn variational principles associated with different boundary conditions, which allows for the detection and removal of spurious singularities known as Kohn anomalies. When applied to the $K$-matrix only, our emulator resembles the one constructed by Furnstahl et al. [Phys. Lett. B 809, 135719] although with reduced numerical noise. After a few applications to real potentials, we emulate differential cross sections for ${}^{40}$Ca$(n,n)$ scattering based on a realistic optical potential and quantify the model uncertainties using Bayesian methods. These calculations serve as a proof of principle for future studies aimed at improving optical models.

12 pages, 4 figures, 1 table; minor improvements, close to published version

References in corpus (11)

• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Get on the BAND Wagon: A Bayesian Framework for Quantifying Model Uncertainties in Nuclear Dynamics
• Direct comparison between Bayesian and frequentist uncertainty quantification for nuclear reactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Fast & accurate emulation of two-body scattering observables without wave functions
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• Core Transitions in the Breakup of Exotic Nuclei
• Exploring experimental conditions to reduce uncertainties in the optical potential
• Anomaly-free singularities in the generalized Kohn variational method

Cited by in corpus (15)

• Machine Learning in Nuclear Physics
• Model reduction methods for nuclear emulators
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Training and Projecting: A Reduced Basis Method Emulator for Many-Body Physics
• Fast emulation of quantum three-body scattering
• Statistical tools for a better optical model
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Volume extrapolation via eigenvector continuation
• Wave-function-based emulation for nucleon-nucleon scattering in momentum space
• Neutron-deuteron scattering cross-sections with chiral $NN$ interactions using wave-packet continuum discretization
• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
• Reduced basis emulation of pairing in finite systems
• Perspectives on few-body cluster structures in exotic nuclei
• Fundamental limitations of the eigenvalue continuation approach
• Uncertainty Quantification in Breakup Reactions